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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 646 · 40 questions
TalentJR

The method (One part): Divide in a ratio a : b: one part = total ÷ (a + b); shares are a parts and b parts. If you know one share, one part = that share ÷ its number of parts. Proportion a : b = c : d means a × d = b × c (fourth proportional d = b × c ÷ a; third proportional to a and b is b × b ÷ a).

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  1. 1.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  2. 2.5 : 10 = 25 : ?
  3. 3.Divide ₹192 between Aarav and Manav in the ratio 1 : 7. How much does Aarav get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 5 : 8. There are 45 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 3 : 2. There are 18 boys. How many girls are there?
  6. 6.Divide ₹56 between Nisha and Isha in the ratio 6 : 1. How much does Isha get (in ₹)?
  7. 7.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  8. 8.Divide ₹969 between Tara and Zoya in the ratio 8 : 9. How much does Zoya get (in ₹)?
  9. 9.Divide ₹184 between Kabir and Isha in the ratio 3 : 1. How much does Isha get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 1 : 4. There are 9 boys. How many girls are there?
  11. 11.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  12. 12.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  13. 13.Divide ₹280 between Nisha and Sneha in the ratio 5 : 9. How much does Nisha get (in ₹)?
  14. 14.Divide ₹275 between Tara and Kabir in the ratio 1 : 4. How much does Kabir get (in ₹)?
  15. 15.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  16. 16.4 : 2 = 32 : ?
  17. 17.The ratio of boys to girls in a class is 1 : 2. There are 3 boys. How many girls are there?
  18. 18.12 : 9 = 60 : ?
  19. 19.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  20. 20.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  21. 21.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  22. 22.Divide ₹275 between Rohan and Isha in the ratio 9 : 2. How much does Rohan get (in ₹)?
  23. 23.5 : 10 = 30 : ?
  24. 24.2 : 8 = 10 : ?
  25. 25.The ratio of boys to girls in a class is 5 : 7. There are 40 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 1 : 3. There are 5 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 5 : 2. There are 15 boys. How many girls are there?
  28. 28.Divide ₹50 between Manav and Kavya in the ratio 1 : 9. How much does Manav get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 1 : 9. There are 3 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 2 : 1. There are 14 boys. How many girls are there?
  31. 31.3 : 11 = 15 : ?
  32. 32.Divide ₹105 between Karan and Sneha in the ratio 5 : 2. How much does Karan get (in ₹)?
  33. 33.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  34. 34.Divide ₹594 between Kabir and Farhan in the ratio 4 : 7. How much does Kabir get (in ₹)?
  35. 35.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  36. 36.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  37. 37.Divide ₹450 between Nisha and Rahul in the ratio 5 : 4. How much does Nisha get (in ₹)?
  38. 38.5 : 12 = 15 : ?
  39. 39.9 : 5 = 63 : ?
  40. 40.Divide ₹455 between Sneha and Pooja in the ratio 8 : 5. How much does Sneha get (in ₹)?

Answer key

  1. 16
  2. 50
  3. 24
  4. 72
  5. 12
  6. 8
  7. 20
  8. 513
  9. 46
  10. 36
  11. 144
  12. 75
  13. 100
  14. 220
  15. 64
  16. 16
  17. 6
  18. 45
  19. 72
  20. 32
  21. 27
  22. 225
  23. 60
  24. 40
  25. 56
  26. 15
  27. 6
  28. 5
  29. 27
  30. 7
  31. 55
  32. 75
  33. 18
  34. 216
  35. 24
  36. 54
  37. 250
  38. 36
  39. 35
  40. 280

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